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Finding the Fourth Proportional to 482,049.14, 665,216.48 and 278,100.50

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Solution

The fourth proportional to 482,049.14, 665,216.48 and 278,100.50 is: 383,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,049.14 : 665,216.48 = 278,100.50 : x
  2. Step 2: Convert to fraction form
    482,049.14/665,216.48 = 278,100.50/x
  3. Step 3: Cross multiply
    482,049.14x = 665,216.48 × 278,100.50
  4. Step 4: Simplify right side
    482,049.14x = 184,997,033,065.41
  5. Step 5: Solve for x
    x = 184,997,033,065.41/482,049.14
  6. Step 6: Final answer
    x = 383,772.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.